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Ta có: \(\left(1-\frac{1}{3}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{10}\right)....\left(1-\frac{1}{780}\right)\)
\(=\frac{2}{3}.\frac{5}{6}...\frac{779}{780}\)
\(=\frac{4}{6}.\frac{10}{12}....\frac{1558}{1560}\)
\(=\frac{1.4.2.5....38.41}{2.3.3.4....39.40}=\frac{\left(1.2.3..38\right)\left(4.5...41\right)}{\left(2.3.4...39\right)\left(3...40\right)}=\frac{41}{39.3}=\frac{41}{117}\)
\(\left(1-\frac{1}{3}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{10}\right)\left(1-\frac{1}{15}\right)........\left(1-\frac{1}{780}\right)\)
\(=\frac{2}{3}.\frac{5}{6}.\frac{9}{10}.\frac{14}{15}........\frac{779}{780}\)
\(=\frac{4}{6}.\frac{10}{12}\frac{18}{20}.\frac{28}{30}.........\frac{1558}{1560}\)
\(=\frac{1.4}{2.3}.\frac{2.5}{3.4}.\frac{3.6}{4.5}.\frac{4.7}{5.6}...............\frac{38.41}{39.40}\)
\(=\frac{\left(1.2.3.4......38\right)\left(4.5.6.7..........41\right)}{\left(2.3.4.5.........39\right)\left(3.4.5.6.........40\right)}\)
\(=\frac{1.41}{39.3}\)
\(=\frac{41}{117}\)
Vậy \(\left(1-\frac{1}{3}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{10}\right)\left(1-\frac{1}{15}\right)........\left(1-\frac{1}{780}\right)=\frac{41}{117}\)
\(x = {{18.123+9.4567.2+3.5310.6} \over 1+4+7+10+...+55+58-409}\)
\(A = {9.246+9.9134+9.10620{} \over [(58-1):3+1].(58+1):2-409}\)
\(A = {9.(246+9134+10620){} \over 590-490}\)
\(x = {20000{} \over 100}=200\)
x mk ghi nhầm nha A mới đúng nha
chúc bạn học tốt nha
\(A=19\frac{1}{4}+\frac{1}{2}\times2\frac{1}{3}+5,75-\frac{1}{6}+74\)
MK GHI ĐẦY ĐỦ RA RÙI, BẠN TỰ BẤM MÁY TÍNH LÀM NHA ( MÌNH LƯỜI )
\(A=19\frac{1}{4}+\frac{1}{2}\times2\frac{1}{3}+5,75-\frac{1}{6}+74\)
\(A=\frac{77}{4}+\frac{1}{2}\times\frac{7}{3}+\frac{23}{4}-\frac{1}{6}+74\)
\(A=\frac{77}{4}+\frac{7}{6}+\frac{23}{4}-\frac{1}{6}+74\)
\(A=(\frac{77}{4}+\frac{23}{4})+(\frac{7}{6}-\frac{1}{6})+74\)
\(A=25+1+74\)
\(A=26+74\)
\(A=100\)
-452 - ( -67 + 75 - 425 )
= -452 - ( 8 - 425 )
= 452 - ( -417 )
= -35.
_Học tốt#
a,3 . ( 5 - 3 + 1 ) + ( 2 - 13 ) - ( 10 - 13 )=3.3+(-11)-(-3)=9+(-11)+3=1
b,28 . 76 - 13 . 28 + 11 x 28=28.(76-13+11)=28.74=2072
c) 100 - [ 75 - ( 7 - 2 ) 2 ] =100-(75-5^2)=100-(75-25)=100-50=50
\(\left(-7+\left|13\right|\right)-\left(13-\left|-7\right|-25\right)-\left(25+\left|10\right|-9\right)\\ =\left(-7+13\right)-\left(13-7-25\right)-\left(25+10-9\right)\\ =\left(-7\right)+13-13+7+25-25-10+9\\ =\left[\left(-7\right)+7\right]+\left(13-13\right)+\left(25-25\right)+\left(7+9-10\right)\\ =0+0+0+\left(16-10\right)\\ =0+6\\ =6\)